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008 190117s2019 flu ob 000 0 eng d
040 _aOCoLC-P
_beng
_erda
_epn
_cOCoLC-P
020 _a9780429821097
_q(electronic bk.)
020 _a0429821093
_q(electronic bk.)
020 _a9780429446238
_q(electronic bk.)
020 _a0429446233
_q(electronic bk.)
020 _a9780429821073
_q(electronic bk. : Mobipocket)
020 _a0429821077
_q(electronic bk. : Mobipocket)
020 _a9780429821080
_q(electronic bk. : EPUB)
020 _a0429821085
_q(electronic bk. : EPUB)
020 _z9781138333017
020 _z1138333018
035 _a(OCoLC)1082519175
035 _a(OCoLC-P)1082519175
050 4 _aQA531
_b.M5845 2019eb
072 7 _aMAT
_x012000
_2bisacsh
072 7 _aMAT
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072 7 _aPBKF
_2bicssc
082 0 4 _a516.24/6
_223
100 1 _aMickens, Ronald E.,
_d1943-
_eauthor.
245 1 0 _aGeneralized trigonometric and hyperbolic functions /
_cRonald E. Mickens.
264 1 _aBoca Raton, Florida :
_bCRC Press,
_c[2019]
264 4 _c©2019
300 _a1 online resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
505 0 _aCover; Half Title; Title Page; Copyright Page; Table of Contents; Dedication; List of Figures; Preface; Author; 1: TRIGONOMETRIC AND HYPERBOLIC SINE AND COSINE FUNCTIONS; 1.1 INTRODUCTION; 1.2 SINE AND COSINE: GEOMETRIC DEFINITIONS; 1.3 SINE AND COSINE: ANALYTIC DEFINITION; 1.3.1 Derivatives; 1.3.2 Integrals; 1.3.3 Taylor Series; 1.3.4 Addition and Subtraction Rules; 1.3.5 Product Rules; 1.4 SINE AND COSINE: DYNAMIC SYSTEM APPROACH; 1.4.1 x-y Phase-Space; 1.4.2 Symmetry Properties of Trajectories in Phase-Space; 1.4.3 Null-Clines; 1.4.4 Geometric Proof that All Trajectories Are Closed
520 _aGeneralized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions. Previous efforts have started with integral representations for the inverse generalized sine functions, followed by the construction of the associated cosine functions, and from this, various properties of the generalized trigonometric functions are derived. However, the results contained in this book are based on the application of both geometrical phase space and dynamical systems methodologies. Features Clear, direct construction of a new set of generalized trigonometric and hyperbolic functions Presentation of why x2+y2 = 1, and related expressions, may be interpreted in three distinct ways All the constructions, proofs, and derivations can be readily followed and understood by students, researchers, and professionals in the natural and mathematical sciences
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aTrigonometry.
650 0 _aExponential functions.
650 0 _aHyperbola.
650 7 _aMATHEMATICS / Geometry / General
_2bisacsh
650 7 _aMATHEMATICS / Arithmetic
_2bisacsh
650 7 _aMATHEMATICS / Number Theory
_2bisacsh
650 7 _aMATHEMATICS / Functional Analysis
_2bisacsh
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9780429446238
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999 _c127504
_d127504